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Finding the Fourth Proportional to 288.76, 432.86 and 106.10

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Solution

The fourth proportional to 288.76, 432.86 and 106.10 is: 159.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.76 : 432.86 = 106.10 : x
  2. Step 2: Convert to fraction form
    288.76/432.86 = 106.10/x
  3. Step 3: Cross multiply
    288.76x = 432.86 × 106.10
  4. Step 4: Simplify right side
    288.76x = 45,926.45
  5. Step 5: Solve for x
    x = 45,926.45/288.76
  6. Step 6: Final answer
    x = 159.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.